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Class 11 Maths Study Material

An Educational platform for Preparation and Practice Class 11. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 11. This study material help Class 11, Maths students in learning every aspect of Sequence and Series. Students can understand Sequence and Series concept easily and consolidate their learning by doing Online Practice Tests on Maths,Sequence and Series chapter repeatedly till they excel in Class 11, Sequence and Series. Free ONLINE PRACTICE TESTS on Class 11, Sequence and Series comprise of Hundreds of Questions on Sequence and Series, prepared by the highly professionals team. Every repeat test of Sequence and Series will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Sequence and Series. Attempt ONLINE TEST on Class 11,Maths,Sequence and Series in Academics section after completing this Sequence and Series Question Answer Exercise.

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Sequence and Series

A sequence is said to be_______ if every term differs from the preceding term by a constant number.

a) Arithmetic progression
b) Geometric progression
c) Trigonometric progression
d) None of the above

✔Answer

Correct Answer Is : Arithmetic progression

Solution Is :

The third term of gp is 4. the product of its first five term is

a) 4⁵
b) 44
c) 4⁷
d) 4⁸

✔Answer

Correct Answer Is : 4⁵

Solution Is :

Find the 5th term of the sequence An = 2(n ? 1)² ? 3.

a) 29
b) 25
c) 14
d) 75

✔Answer

Correct Answer Is : 29

Solution Is :

The arithmetic mean between 12 and 40 is:

a) 26
b) 28
c) 21
d) 20

✔Answer

Correct Answer Is : 26

Solution Is :

The length of three unequal edges of a rectangular solid block are in GP. The volume of the block is 216cm³ and the total surface area is 252cm^{2.the length of longest edge is}

a) 12cm
b) 14cm
c) 43cm
d) 25cm

✔Answer

Correct Answer Is : 12cm

Solution Is :

If the number of terms are three with common difference `d`, then the three terms can be taken as

a) A-d,a,a+d
b) A-d,d,a+d
c) D-a,d,a+d
d) D-a,a,a+d

✔Answer

Correct Answer Is : A-d,d,a+d

Solution Is :

The numbers whose arithmetic mean is 36 and geometric mean is 12 are:

a) 2 & 70
b) 2 & 20
c) 7 & 70
d) 20 & 40

✔Answer

Correct Answer Is : 2 & 70

Solution Is :

Calculate the sum of the arithmetic series 3 + 7 + 11 + · · · + 123

a) 1956
b) 1953
c) 1568
d) 1526

✔Answer

Correct Answer Is : 1953

Solution Is :

The first term of a G.P. is 8 and the sum to infinity is 5, the common ratio is

a) (-3/4)
b) (3/5)
c) (-3/7)
d) (-3/5)

✔Answer

Correct Answer Is : (-3/5)

Solution Is :

Sum of powers of 4 of first n natural numbers is

a) [n(n+1)(n²+1)(3n³+3n-1]/30
b) [n(n+1)(2n+1)(3n²+3n-1]/30
c) [n(n+1)(2n+1)(3n²+3n-1]/10
d) [n(n²+1)(2n³+1)(3n⁴+3n-2]/30

✔Answer

Correct Answer Is : [n(n+1)(2n+1)(3n²+3n-1]/30

Solution Is :

❑Permutations and Combinations
❑Sets and their representations
❑statistics
❑Mathematical Induction
❑mathematical reasoning
❑Binomial Theorem
❑Calculus
❑Three Dimensional Geometry
❑Conic Sections
❑Straight Lines
❑Sequence and Series
❑Linear Inequalities
❑Complex numbers and Quadratic equations
❑Relations and functions
❑Trigonometric function
❑Probability

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Class 11 Maths Study Material

Sequence and Series

A sequence is said to be_______ if every term differs from the preceding term by a constant number.

Correct Answer Is : Arithmetic progression

Solution Is :

The third term of gp is 4. the product of its first five term is

Correct Answer Is : 45

Solution Is :

Find the 5th term of the sequence An = 2(n ? 1)2 ? 3.

Correct Answer Is : 29

Solution Is :

The arithmetic mean between 12 and 40 is:

Correct Answer Is : 26

Solution Is :

The length of three unequal edges of a rectangular solid block are in GP. The volume of the block is 216cm3 and the total surface area is 252cm2.the length of longest edge is

Correct Answer Is : 12cm

Solution Is :

If the number of terms are three with common difference `d`, then the three terms can be taken as

Correct Answer Is : A-d,d,a+d

Solution Is :

The numbers whose arithmetic mean is 36 and geometric mean is 12 are:

Correct Answer Is : 2 & 70

Solution Is :

Calculate the sum of the arithmetic series 3 + 7 + 11 + · · · + 123

Correct Answer Is : 1953

Solution Is :

The first term of a G.P. is 8 and the sum to infinity is 5, the common ratio is

Correct Answer Is : (-3/5)

Solution Is :

Sum of powers of 4 of first n natural numbers is

Correct Answer Is : [n(n+1)(2n+1)(3n2+3n-1]/30

Solution Is :

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Correct Answer Is : 4⁵

Find the 5th term of the sequence An = 2(n ? 1)² ? 3.

The length of three unequal edges of a rectangular solid block are in GP. The volume of the block is 216cm³ and the total surface area is 252cm^{2.the length of longest edge is}

Correct Answer Is : [n(n+1)(2n+1)(3n²+3n-1]/30